Handbook of Social Choice and Welfare, Volume 2Kenneth Joseph Arrow, Amartya Sen, Kōtarō Suzumura Gulf Professional Publishing, 2002 - Social choice The Handbook of Social Choice and Welfare presents, in two volumes, essays on past and on-going work in social choice theory and welfare economics. The first volume consists of four parts. In Part 1 (Arrovian Impossibility Theorems), various aspects of Arrovian general impossibility theorems, illustrated by the simple majority cycle first identified by Condorcet, are expounded and evaluated. It also provides a critical survey of the work on different escape routes from impossibility results of this kind. In Part 2 (Voting Schemes and Mechanisms), the operation and performance of voting schemes and cost-sharing mechanisms are examined axiomatically, and some aspects of the modern theory of incentives and mechanism design are expounded and surveyed. In Part 3 (structure of social choice rules), the positional rules of collective decision-making (the origin of which can be traced back to a seminal proposal by Borda), the game-theoretic aspects of voting in committees, and the implications of making use of interpersonal comparisons of welfare (with or without cardinal measurability) are expounded, and the status of utilitarianism as a theory of justice is critically examined. It also provides an analytical survey of the foundations of measurement of inequality and poverty. In order to place these broad issues (as well as further issues to be discussed in the second volume of the Handbook) in perspective, Kotaro Suzumura has written an extensive introduction, discussing the historical background of social choice theory, the vistas opened by Arrow's Social Choice and Individual Values, the famous "socialist planning" controversy, and the theoretical and practical significance of social choice theory. The primary purpose of this Handbook is to provide an accessible introduction to the current state of the art in social choice theory and welfare economics. The expounded theory has a strong and constructive message for pursuing human well-being and facilitating collective decision-making. *Advances economists' understanding of recent advances in social choice and welfare *Distills and applies research to a wide range of social issues *Provides analytical material for evaluating new scholarship *Offers consolidated reviews and analyses of scholarship in a framework that encourages synthesis-- |
Contents
Introduction | 1 |
Chapter | 2 |
STRUCTURE OF SOCIAL CHOICE RULES | 7 |
Significance of the subject and main lines of research | 18 |
Chapter 1 | 36 |
Fundamental lemmas and Arrows theorem | 43 |
Relaxing the Pareto criterion | 52 |
Relaxing the domain condition | 64 |
Chapter 6 | 289 |
Sharing variable returns | 316 |
Heterogeneous outputs or inputs | 328 |
References | 354 |
PRASANTA K PATTANAIK | 361 |
Some notions of positionalist social ranking rules and social decision rules | 367 |
Arrows conditions the principle of simple majority and positionalist SDRs | 375 |
Concluding remarks | 392 |
Relaxing independence of irrelevant alternatives | 70 |
Concluding remarks | 84 |
Categories of Arrovian Voting Schemes | 85 |
Positional Rules of Collective DecisionMaking | 92 |
FUAD ALESKEROV | 95 |
Social decision rules | 103 |
Functional voting rules | 112 |
Conclusion | 125 |
Chapter 3 | 131 |
The existence of Arrovian social welfare functions and the domain of | 146 |
Distributional restrictions over the set of individual preferences under simple | 153 |
Social choice in continuous space | 160 |
Concluding remarks | 166 |
Chapter 4 | 173 |
Voter preferences and social choice functions | 180 |
Introduction to voting procedures for three or more candidates | 186 |
Strategic analysis of nonranked voting | 193 |
Condorcet choices and ranked voting | 203 |
Chapter 5 | 237 |
Definitions | 245 |
further topics | 260 |
Bayesian implementation | 276 |
References | 282 |
some | 398 |
Representations of committees | 407 |
Strong representations of committees | 415 |
Concluding remarks | 421 |
Constitutional choices | 427 |
A committee of politicians | 436 |
Elections as methods of belief aggregation | 443 |
Concluding remarks | 452 |
Chapter 10 | 461 |
Axioms and their use | 477 |
Independence and invariancebased characterisations | 507 |
Discarding neutrality or invariance | 520 |
Conclusion | 534 |
CHARLES BLACKORBY WALTER BOSSERT and DAVID DONALDSON | 543 |
Socialevaluation functionals | 549 |
Generalized utilitarianism | 560 |
Utilitarianism | 566 |
Uncertainty | 581 |
Conclusion | 590 |
Chapter 12 | 597 |
Measurement of poverty | 619 |
Author index | 635 |
Other editions - View all
Handbook of Social Choice and Welfare Kenneth J. Arrow,A. Sen,Kotaro Suzumura No preview available - 2010 |
Common terms and phrases
aggregation Aleskerov allocation approval voting Arrovian Arrow's theorem axiomatic axioms ballot binary relation Borda Brams characterization Choice and Welfare condition convex cost function cost-sharing method decision rules defined definition denote dictatorial domain Econometrica Economic Theory election example exists finite Fishburn free triple Gehrlein implies impossibility theorem indifference individual preferences Journal of Economic lemma linear ordering majority rule Maskin Mathematical mechanism monotonic Moulin Nash equilibrium Nash implementation nonempty outcome paradox Pareto criterion Pareto optimal Pattanaik positionalist preference ordering preference profile preference relation problem rationing method representation restriction satisfies IIA Section simple majority social choice correspondences social choice function social choice rule social choice theory social decision social ordering social preference social ranking social welfare function strategy-proof strategyproof strict strictly prefers subset Suzumura SWFL transitive ultrafilter lemma University Press vector veto power voters voting paradoxes voting procedures welfare economics
References to this book
Preferences and Similarities Giacomo Riccia,Didier Dubois,Hans-Joachim Lenz,Rudolf Kruse No preview available - 2009 |